Einstein's General Relativity and Gravitation

Course Description

"Einstein's General Relativity and Gravitation" is a graduate-level course taught at UC Irvine as Physics 255. This course covers diverse topics in general relativity, including an introduction to Einstein’s theory of gravitation, tensor analysis, Einstein’s field equations, astronomical tests of Einstein’s theory, and gravitational waves.

Copyright Information

Hamber, Herbert. Physics 255 (UCI OpenCourseWare: University of California, Irvine), http://ocw.uci.edu/courses/einsteins_general_relativity_and_... [December 25, 2014]. License: Creative Commons Attribution-ShareAlike 3.0 United States License (http://creativecommons.org/licenses/by-sa/3.0/us/deed.en_US)
Einstein's General Relativity and Gravitation
Diagram of Gravity Probe B circling the Earth (source: Wikipedia)
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Video Lectures & Study Materials

Visit the official course website for more study materials: http://ocw.uci.edu/courses/einsteins_general_relativity_and_gravitation.html

# Lecture Play Lecture
1 Introduction (1:28:11) Play Video
I. Special Relativity
2 Review of Lorentz Transformations, Energy, and Momentum (1:17:13) Play Video
3 Tensor Algebra & Covariant Form of Maxwell's Equations (1:21:52) Play Video
4 Angular Momentum & Relativistic Hydrodynamics (1:23:15) Play Video
II. General Relativity
5 Equivalence Principle & Metric Tensors (1:26:55) Play Video
6 Newtonian Limit & Gravitational Red Shift (1:28:33) Play Video
7 General Relativity Time Dilation Effects in GPS Systems. (1:26:10) Play Video
8 General Covariance & Affine Connection (1:16:48) Play Video
9 Covariant Derivatives, Curls and Divergences (1:22:10) Play Video
10 Fermi-Walker Transport & Riemann Curvature Tensor (1:23:31) Play Video
III. Einstein's Field Equations
11 Derivation of the Einstein Field Equations (1:21:06) Play Video
12 Einstein-Hilbert Action & Brans-Dicke Theory (1:26:21) Play Video
13 Field Equations for a Static Isotropic Metric (1:21:23) Play Video
IV. Solutions to the Field Equations
14 Schwarzschild Solution & Astrophysical Black Holes (1:24:22) Play Video
15 Photon Orbits in the Schwarzschild Metric (1:22:57) Play Video
16 Weak and Strong Gravitational Fields (1:26:22) Play Video
17 Generation and Detection of Gravitational Waves (1:26:52) Play Video
18 Lense-Thirring Effect & Mach's Principle (1:14:16) Play Video
19 Field Equations for a Homogeneous Isotropic Metric (1:29:13) Play Video
V. Gravitation and Quantum Mechanics
20 Gravitons & Quantum-Mechanical Field Fluctuations (1:40:55) Play Video
VI. Student Presentations
21 Presentations: Kerr Metric, Gravitational Lensing, GW Detection (1:29:36) Play Video
22 Presentations: Positive Energy Theorem & Curvature (1:03:09) Play Video
23 Presentations: Dark Matter, MOND, & Cosmological Inflation (1:17:55) Play Video
24 Presentations: Kaluza-Klein Theory & Diagrams for Quantum Gravity (1:05:06) Play Video


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